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Knowing that the ionization energy for the atom of hydrogen is 13.6 eV, how much energy is absorbed by the atom of hydrogen when making a transition from state n = ...

Question

Knowing that the ionization energy for the atom of hydrogen is 13.6 eV, how much energy is absorbed by the atom of hydrogen when making a transition from state n = 1 to state n = 22

Knowing that the ionization energy for the atom of hydrogen is 13.6 eV, how much energy is absorbed by the atom of hydrogen when making a transition from state n = 1 to state n = 22



Answers

What is the ionization energy of a hydrogen atom excited to the $n=2$ state?

In this problem, I can calculate the value of party edge. So using the formula E n is equal to minus 2.18 multiplication 10 to the power minus 18 june, multiplication one by any square. So even is equal to minus two point 1 8 multiplication, tend to depart -18 jewels, Multiplication one x 1 square, which is equal to -2.18 multiplication, 10 to the power -18 June. Now calculating the value of infinity, so infinity is equal to minus 2.18 multiplication 10 to the power minus 18 jewel multiplication, one by infinity square which is equal to zero jewel. So dale E. That is the energy change when electrons jump from estate and infinity to lower the state. So I can write infinity minus even, which is equal to zero minus minus 2.18 Multiplication 10 to the Power -18. Dude. On solving it, I get the value edge 2.18 multiplication 10 to the power minus 18 jewels. So changing it into kilo jewels. So I just Multiplied by this value which is equal to 2.18. Multiplication 10 to the power -21. Kill a jew. No we just calculating the energy required to move the lock button out of the item. So he required Is equal to 2.18 multiplication 10 to the Power -21. But the electron multiplication six point 0 to 3 multiplication 10 24 23 electron by one mole multiplication one. So on simplification I get 1.31 multiplication 10 to the power three kg. You'll per mole. No simplifying the value for part B. So here I can calculate energy equal to 1.31 multiplication 10 to the power three kg. You'll birth more now organization. And is this the amount of energy needed to remove an electron from hydrogen item to an infinite distance? So experimentally determined value of energy, asian energy and our calculated value that H. E. Experimentally e experimentally Here equal to 1310. Kill a jewel per mole, and he calculated equal to 1.31 multiplication tend to about three kg per mole, so both are equal. Both are same. So I. Nigerian energy, our and our calculated value are same for this problem.

Energy of an electron in the ground state of the hydrogen attempt is So calculate the ionization and Tempe of atomic hydrogen interim salt caramel. Okay, so what is the meaning of IO 9? Asian energy, energy required to the movie that come from ground state to infinity? They So the ground listed energy is at the ground listed energy is -4.1. It into any raised to the power minus 18. An energy at Infinity is zero June. So, I understand energy is that change in the idea of at infinity. And that ground state. So I This will be 0 -2.18-10 h -15. They So I own iteration energy will be equal to 2.1 it into 10, which the power -18. But this energy is for one electron for for removal of electro. Now we have to calculate energy for removal of one more electrons. We know that one mole equal to six and 2 10 to the power from three Electoral. So energy in. Do you look at the morgue That will be equal to 2.18 into 10. Original power -18- 6- 10 raised to a power completely. So it will come out here, one point driven into 10 raised to the power. Six jewels. I don't know. Okay, thank you.

So the energy often electron Ah, in, uh, in the end state. Hey, in a hydrogen atom is miners, uh, 13 point seeks over. And where where in indicates number off number off saved. So if it is in the first state, the energy would be roads and in the second state and you would be 13 points, six over for rose. And in the fourth hey, the energy would be seeks over 16. No speech. He's, uh, zero point hey and minus is important here, the energies finding and when, Let's say, um a lectern Weak u l l ick on some extra energy and believes the eight home. So there is no binding energy between out l. A and at eight, um, Dana clothes, huh? And so the total energy, he's, uh, zero ah, in the final state. And in the initial state we gave and elect from some energy held I e toe toe leave thes state lead to spy nding state. And it has initially no the, uh, energy which waas uh, plus in the really t uh, in the number. Yeah, mines. So minus, uh, you so hee l d e minimum energy. He's necessary toe Iron eyes Electron in the force state is 0.85. And the quick comment Why the final energies? Zero. Because we're we're looking for the minimum energy. So he's finding energies, and we can you is much energy as we want, But two consider that L. A. Cockney is separated from the new clothes. It would help at least zero. It could have also more than a zero energy. This wouldn't be the hey where the energy regale minimum requirement. Uh, so why we're looking for minimum energy to satisfy the conditions ionized an electron we considered in your So the answer is

Here, we're going to determine the energy and electron gives off As it drops from the n. equals three energy level To the n equals one energy level. So the electron starts in an excited state and it drops down to the ground states where would like to be? And just as a reminder, the uh ground state And equals one is at a lower energy. And the energy levels are given as a function of integer N. As shown. So we can calculate E three is -13.6 E. b. divided by nine. And we have C equals one in there. Um and we calculate that two B -1.51 E B. We can use the same formula for everyone and we get -13.6 eb. And we will calculate the energy difference. And I usually take an absolute value of the final state minus the initial state. But we'll talk about what the sign of the energy difference means because it does have a physical significance. So everyone is -13.6 and then we have minus -1.51 eps. And that is -12.1 TVs. We will take the absolute value. Okay, so that is the absolute value. And we note that the electron has the negative delta E. Meaning that it's dropping in energy. But we have to conserve energy. So the atom must emit a positive delta E. And it will admit the energy in the form of a photon mostly. And I say mostly because there is a slight recoil of the hydrogen atom in order to conserve momentum, but we won't get into that. So in other words, um -12 point on TV is the change in energy of the hydrogen atom And positive 12.1 eb is the energy. Um that comes out in the form of a photon.


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